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Finding the Fourth Proportional to 209,259.51, 313,897.50 and 109,351.86

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Solution

The fourth proportional to 209,259.51, 313,897.50 and 109,351.86 is: 164,032.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,259.51 : 313,897.50 = 109,351.86 : x
  2. Step 2: Convert to fraction form
    209,259.51/313,897.50 = 109,351.86/x
  3. Step 3: Cross multiply
    209,259.51x = 313,897.50 × 109,351.86
  4. Step 4: Simplify right side
    209,259.51x = 34,325,275,474.35
  5. Step 5: Solve for x
    x = 34,325,275,474.35/209,259.51
  6. Step 6: Final answer
    x = 164,032.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.